30009478464000 has 2880 divisors, whose sum is σ = 130704563658240. Its totient is φ = 6593848934400.

The previous prime is 30009478463971. The next prime is 30009478464011. The reversal of 30009478464000 is 46487490003.

30009478464000 is a `hidden beast` number, since 30 + 0 + 0 + 94 + 78 + 464 + 0 + 0 + 0 = 666.

30009478464000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95876927844 + ... + 95876928156.

It is an arithmetic number, because the mean of its divisors is an integer number (45383529048).

Almost surely, 2^{30009478464000} is an apocalyptic number.

30009478464000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30009478464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65352281829120).

30009478464000 is an abundant number, since it is smaller than the sum of its proper divisors (100695085194240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30009478464000 is a wasteful number, since it uses less digits than its factorization.

30009478464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 30009478464000 in words is "thirty trillion, nine billion, four hundred seventy-eight million, four hundred sixty-four thousand".